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Finding the Fourth Proportional to 30,730.62, 46,107 and 10,743.06

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Solution

The fourth proportional to 30,730.62, 46,107 and 10,743.06 is: 16,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730.62 : 46,107 = 10,743.06 : x
  2. Step 2: Convert to fraction form
    30,730.62/46,107 = 10,743.06/x
  3. Step 3: Cross multiply
    30,730.62x = 46,107 × 10,743.06
  4. Step 4: Simplify right side
    30,730.62x = 495,330,267.42
  5. Step 5: Solve for x
    x = 495,330,267.42/30,730.62
  6. Step 6: Final answer
    x = 16,118.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.